Characterization of Inner *-Automorphisms of $W^*$-Algebras

@article{Borchers1974CharacterizationOI,
  title={Characterization of Inner *-Automorphisms of \$W^*\$-Algebras},
  author={Hans J{\"u}rgen Borchers},
  journal={Publications of The Research Institute for Mathematical Sciences},
  year={1974},
  volume={10},
  pages={11-49}
}
  • H. Borchers
  • Published 30 April 1974
  • Mathematics
  • Publications of The Research Institute for Mathematical Sciences
For some problems in physics I would like to have a characterization of *-automorphisms of a C*-algebra which can be realized by unitary operators in the enveloping von Neumann algebra. Looking at this problem I realized that one should first treat the same problem, as an "exercise", for PF*-algebras. The simplification is due to the fact that an inner automorphism lies also on a one-parametric group, while, for a permanently ewakly inner automorphism this property is not known. The technique… 
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